The perimeter of a parallelogram is 280cm .if a pair of adjacent sides are in the ratio 3:4, find the lengthof all its sides
Answers
Step-by-step explanation:
Given :-
The perimeter of a parallelogram is 280cm .if a pair of adjacent sides are in the ratio 3:4.
To find :-
Find the lengthof all its sides ?
Solution :-
Given that
The ratio of pair of adjacent sides in a Parallelogram = 3:4
Let they be 3X cm and 4X cm
We know that
Perimeter of a Parallelogram = 2(a+b) units
a and b are the adjacent sides
=> 2(3X+4X) cm
=>2(7X) cm
=> 14X cm
Perimeter of the Parallelogram = 14X cm
Given that
The perimeter of a parallelogram = 280cm
=> 14X = 280
=> X = 280/14
=> X = 20 cm
Now,
3X = 3(20)=60 cm
4X=4(20)=80 cm
The two pairs of opposite sides are parallel and equal in a Parallelogram.
So ,the sides are 60 cm , 80 cm , 60cm ,80 cm
Answer:-
The lengths of all sides of the Parallelogram are
60 cm , 80 cm , 60cm ,80 cm
Check:-
The adajacent sides = 60 cm and 80 cm
Their ratio = 60:80 = 3:4
The Perimeter = 2(60+80)=2(140)=280cm
Verified the given relations in the given problem
Used formulae:-
- The pair of Opposite sides are parallel and equal in a Parallelogram.
- The perimeter of a Parallelogram = 2(a+b) units
Where , a and b are the adajacent sides
Answer:
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